标题： 修正的f(T)引力中的圆柱解 显示英文标题

标题： Cylindrical Solutions in Modified f(T) Gravity

摘要： 我们研究了Weyl坐标下f(T)引力理论中的静态圆柱对称真空解，其中T是挠率标量。 给出了修正的爱因斯坦方程组，并建立了第四组方程。 假设了代数函数f(T)的具体物理表达式并得到了解。 此外，得到了r=0轴上u(r)具有有限值的一般解，这导致了一个常数挠率标量。 同时，引入了宇宙学常数，并对其与GR中的Linet-Tian解的关系进行了评论。 显示英文摘要

摘要： We investigate static cylindrically symmetric vacuum solutions in Weyl coordinates in the framework of f(T) theories of gravity, where T is the torsion scalar. The set of modified Einstein equations is presented and the fourth coming equations are established. Specific physical expressions are assumed for the algebraic function f(T) and solutions are obtained. Moreover, general solution is obtained with finite values of u(r) on the axis r = 0, and this leads to a constant torsion scalar. Also, cosmological constant is introduced and its relation to Linet-Tian solution in GR is commented.